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State discrimination is a useful test problem with which to clarify the power and limitations of different classes of measurement. We consider the problem of discriminating between given states of a bi-partite quantum system via sequential…

量子物理 · 物理学 2017-09-25 Sarah Croke , Stephen M. Barnett , Graeme Weir

We investigate the ability of a quantum measurement device to discriminate two states or, generically, two hypothesis. In full generality, the measurement can be performed a number $n$ of times, and arbitrary pre-processing of the states…

量子物理 · 物理学 2017-04-26 Christoph Hirche , Masahito Hayashi , Emilio Bagan , John Calsamiglia

We consider a state discrimination problem which deals with settings of minimum-error and unambiguous discrimination systematically by introducing a margin for the probability of an incorrect guess. We analyze discrimination of three…

量子物理 · 物理学 2012-10-12 H. Sugimoto , Y. Taninaka , A. Hayashi

Quantum state discrimination depicts the general progress of extracting classical information from quantum systems. We show that quantum state discrimination can be realized in a device-independent scenario using tools of self-testing…

量子物理 · 物理学 2024-01-25 Xinyu Qiu , Lin Chen

We review some partial results for two strictly related problems. The first problem consists in finding the optimal joint unitary transformation on system and ancilla which is the most efficient in programming any desired channel on the…

量子物理 · 物理学 2007-05-23 Giacomo Mauro D'Ariano , Paolo Perinotti

We consider quantum state tomography with measurement procedures of the following type: First, we subject the quantum state we aim to identify to a know time evolution for a desired period of time. Afterwards we perform a measurement with a…

量子物理 · 物理学 2017-01-24 Michael Kech

What resources are universal for quantum computation? In the standard model, a quantum computer consists of a sequence of unitary gates acting coherently on the qubits making up the computer. This paper shows that a very different model…

量子物理 · 物理学 2009-11-07 Michael A. Nielsen

We consider the problem of correctly classifying a given quantum two-level system (qubit) which is known to be in one of two equally probable quantum states. We assume that this task should be performed by a quantum machine which does not…

量子物理 · 物理学 2019-07-02 Marco Fanizza , Andrea Mari , Vittorio Giovannetti

Similar to a classical processor, which is an algorithm for reading a program and executing its instructions on input data, a universal programmable quantum processor is a fixed quantum channel that reads a quantum program…

量子物理 · 物理学 2024-11-07 Eddie Schoute , Dmitry Grinko , Yigit Subasi , Tyler Volkoff

The impossibility of deterministic and error-free discrimination among nonorthogonal quantum states lies at the core of quantum theory and constitutes a primitive for secure quantum communication. Demanding determinism leads to errors,…

量子物理 · 物理学 2021-12-21 M. A. Solís-Prosser , O. Jiménez , A. Delgado , L. Neves

The idea behind universal coating is to have a thin layer of a specific substance covering an object of any shape so that one can measure a certain condition (like temperature or cracks) at any spot on the surface of the object without…

新兴技术 · 计算机科学 2016-01-07 Zahra Derakhshandeh , Robert Gmyr , Andrea W. Richa , Christian Scheideler , Thim Strothmann

A complex Hilbert space of dimension six supports at least three but not more than seven mutually unbiased bases. Two computer-aided analytical methods to tighten these bounds are reviewed, based on a discretization of parameter space and…

量子物理 · 物理学 2011-02-10 Stephen Brierley , Stefan Weigert

A measurement strategy is developed for a new kind of hypothesis testing. It assigns, with minimum probability of error, the state of a quantum system to one or the other of two complementary subsets of a set of N given non-orthogonal…

量子物理 · 物理学 2009-11-07 Ulrike Herzog , Janos A. Bergou

Quantum discrimination and estimation are pivotal for many quantum technologies, and their performance depends on the optimal choice of probe state and measurement. Here we show that their performance can be further improved by suitably…

量子物理 · 物理学 2020-09-14 Daniel Basilewitsch , Haidong Yuan , Christiane P. Koch

We propose a generalized discrimination scheme for mixed quantum states. In the present scenario we allow for certain fixed fraction of inconclusive results and we maximize the success rate of the quantum-state discrimination. This protocol…

量子物理 · 物理学 2009-11-07 Jaromir Fiurasek , Miroslav Jezek

Roa et al. showed that quantum state discrimination between two nonorthogonal quantum states does not require quantum entanglement but quantum dissonance only. We find that quantum coherence can also be utilized for unambiguous quantum…

量子物理 · 物理学 2021-08-10 Sunho Kim , Longsuo Li , Asutosh Kumar , Chunhe Xiong , Sreetama Das , Ujjwal Sen , Arun Kumar Pati , Junde Wu

We address perfect discrimination of two separable states. When available states are restricted to separable states, we can theoretically consider a larger class of measurements than the class of measurements allowed in quantum theory. The…

量子物理 · 物理学 2020-10-08 Hayato Arai , Yuuya Yoshida , Masahito Hayashi

Recently the problem of Unambiguous State Discrimination (USD) of mixed quantum states has attracted much attention. So far, bounds on the optimum success probability have been derived [1]. For two mixed states they are given in terms of…

量子物理 · 物理学 2008-06-04 Philippe Raynal , Norbert Lütkenhaus

We consider the two categories of termination problems of quantum programs with nondeterminism: 1) Is an input of a program terminating with probability one under all schedulers? If not, how can a scheduler be synthesized to evidence the…

量子物理 · 物理学 2024-02-27 Jianling Fu , Hui Jiang , Ming Xu , Yuxin Deng , Zhi-Bin Li

We investigate the extent to which we can establish whether or not two quantum systems have been prepared in the same state. We investigate the possibility of universal unambiguous state comparison. We show that it is impossible to…

量子物理 · 物理学 2009-11-07 Stephen M. Barnett , Anthony Chefles , Igor Jex